Perp. Bisector Theorem

Follow the instructions below to investigate the relationship between points on a perpendicular bisector and endpoints.
1. Construct a perpendicular bisector of the line segment.
2. Place a point on the perpendicular bisector and label it point P
3. Create line segments from point P to point A and point B
4. Find the distance of line segment AP and BP
5. Now drag point P up and down the perpendicular line segment, what conclusions can you draw?
Fill in notes for the Perpendicular Bisector Thoerem.